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I see that my ZRF significantly undervalues Coordinators. You can fool Zillions and make it think that a piece is more valuable by adding useless add's. The problem with the old ZRF is that the Coordinator is not obliged to capture the coordinated enemy pieces. If you do:

...
(capture ThisAndThat)
add add add add
...

ThisAndThat is only captured in the first add. This action is canceled after that add. The three other add's do a move without performing the capture-action. Maybe it also works if you even further fool Zillions by adding 'completely useless add's'

(piece
  (name Coordinator)
  ...
  (moves
    (move-type Regular)
    (CoordinatorMove n)
    ...
    (move-type Monkey)
    (add add add add add add)
  )
)

And say in the turn-order that White and Black do only Regular moves. I don't know much about Zillions AI. But maybe this works.